Let A, be the language defined as follows: A1 ={ xe{0,1}" | the number of Os in x is 4k+1 for some integer k} Which of the following regular expressions represents A,? O (1'01'01'01'01)y01 O 1'0(1'01'01'01'01) O 1'0(1'00001")" O (1'01'01'01'01")o
Let A, be the language defined as follows: A1 ={ xe{0,1}" | the number of Os in x is 4k+1 for some integer k} Which of the following regular expressions represents A,? O (1'01'01'01'01)y01 O 1'0(1'01'01'01'01) O 1'0(1'00001")" O (1'01'01'01'01")o
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
Related questions
Question
![**Problem Statement**
Let \( A_1 \) be the language defined as follows:
\[ A_1 = \{ x \in \{0,1\}^* \mid \text{the number of 0s in } x \text{ is } 4k+1 \text{ for some integer } k \} \]
Which of the following regular expressions represents \( A_1 \)?
**Options:**
1. \((1^*01^*01^*01^*01^*)^*\)
2. \(1^*0(1^*01^*01^*01^*)^*\)
3. \(1^*0(1^*0000)^*\)
4. \((1^*01^*01^*01^*01^*)^*0\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F99503c32-c247-43c7-8e85-114d70736ac6%2F10b3c884-edf6-403f-887f-daa362948191%2F7rgm3m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement**
Let \( A_1 \) be the language defined as follows:
\[ A_1 = \{ x \in \{0,1\}^* \mid \text{the number of 0s in } x \text{ is } 4k+1 \text{ for some integer } k \} \]
Which of the following regular expressions represents \( A_1 \)?
**Options:**
1. \((1^*01^*01^*01^*01^*)^*\)
2. \(1^*0(1^*01^*01^*01^*)^*\)
3. \(1^*0(1^*0000)^*\)
4. \((1^*01^*01^*01^*01^*)^*0\)
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps

Recommended textbooks for you

Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education

Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON

Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON

Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education

Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON

Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON

C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON

Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning

Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education